Search a number
-
+
110200210120 = 235721113569691
BaseRepresentation
bin110011010100001110…
…0011100001011001000
3101112110001010201000201
41212220130130023020
53301142223210440
6122343020541544
710650602221300
oct1465034341310
9345401121021
10110200210120
1142810166a20
12194359b18b4
13a512b28a30
145495a1c600
152cee99419a
hex19a871c2c8

110200210120 has 384 divisors, whose sum is σ = 339944169600. Its totient is φ = 31604428800.

The previous prime is 110200210103. The next prime is 110200210139. The reversal of 110200210120 is 21012002011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 110200210097 and 110200210106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159478975 + ... + 159479665.

It is an arithmetic number, because the mean of its divisors is an integer number (885271275).

Almost surely, 2110200210120 is an apocalyptic number.

110200210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110200210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169972084800).

110200210120 is an abundant number, since it is smaller than the sum of its proper divisors (229743959480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110200210120 is a wasteful number, since it uses less digits than its factorization.

110200210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 110200210120 its reverse (21012002011), we get a palindrome (131212212131).

The spelling of 110200210120 in words is "one hundred ten billion, two hundred million, two hundred ten thousand, one hundred twenty".